Download presentation

Presentation is loading. Please wait.

Published byTate Coombes Modified over 3 years ago

1
Do Now Take out your calculator Take a protractor from the front. Draw a right triangle DEF with 20 o, 70 o and 90 o angles, respectively. Make sure your sides are straight and your angles are accurate.

2
Solving with Trig Ratios

3
Today’s Objectives Use the sine, cosine and tangent ratios to solve problems. Find missing sides and angles. Apply inverse trigonometry. Use problem solving skills.

4
Per Request https://www.youtube.com/watch?v=t2uPYYLH4Zo https://www.youtube.com/watch?v=t2uPYYLH4Zo

5
Investigation 1. Start with your triangle from the Do Now. 2. Measure DE, DF, and EF to the nearest millimeter. 3. Use your side lengths and the definitions of sine, cosine, and tangent to complete this table. Round to four decimals. 4. Share your results with your group. Calculate the average of each ratio within your group. Create a new table with your group’s average values. m

6
Investigation What observations can you make about the trigonometric ratios you found? What is the relationship between the values for 20 o and the values for 70 o ? Why do you think these relationships exist?

7
Trig Tables

8
Calculators of 2015 Experiment with your calculator to determine how to find the sine, cosine, and tangent values of angles. Use your calculator to compare with the trig ratios you found by measuring sides.

9
Example Find the length of the hypotenuse of a right triangle if an acute angle measures 20 o and the leg opposite the angle measures 410ft. 410 ft 20 o x

10
Example A right triangle has legs of length 8 inches and 15 inches. Find the measure of the angle opposite the 8-inch leg. 8 in xoxo 15 in

11
Practice

14
Today’s Objectives Use the sine, cosine and tangent ratios to solve problems. Find missing sides and angles. Apply inverse trigonometry. Use problem solving skills.

15
Exit Slip 1. Find the missing side to the nearest whole cm. 2. Find the perimeter of this right triangle. 85m 35 o 17cm65 o b

16
Honors Exit Slip 1. Find the missing side to the nearest whole cm. 2. Find the perimeter of this rectangle. 85m 35 o 17cm65 o b

Similar presentations

OK

13.1 Right Triangle Trigonometry. Trigonometry: The study of the properties of triangles and trigonometric functions and their applications. Trigonometric.

13.1 Right Triangle Trigonometry. Trigonometry: The study of the properties of triangles and trigonometric functions and their applications. Trigonometric.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on mary kay ash Ppt on my dream project Ppt on diversity in living organisms Ppt on nutrition in plants for class 7 Ppt on word association test free Ppt on loops in c language Ppt on db2 architecture overview Ppt on human resources for class 9 Ppt on water softening techniques Ppt on summary writing powerpoint